The successful student will be able to:
- add vectors graphically and trigonometrically
- resolve vectors into their components
- use unit vectors
- recognize that velocity is the time derivative of position, acceleration is the time derivative of velocity and the second derivative of position, and solve problems using those relationships and position, velocity, and accelerations as functions of time.
- recognize that change in velocity is the integral of acceleration w.r.t. time and change in position is the integral of velocity or the second integral of acceleration w.r.t. time.
- Use those concepts to solve dynamics problems involving forces which depend on velocity such as drag.
- Recognize that work is the integral of force w.r.t. position, that work done on an object by a conservative force is equal to (-1) multiplied by the change in the potential energy associated with that force, and solve problems with variable forces that use those concepts (as with springs).
- relate slopes and areas under curves to the above processes and quantities
- recognize that power is the time derivative of energy and use that relationship in problem solving
- recognize that instantaneous, one dimensional force acting on an object is equal to the negative derivative of potential energy with respect to that spatial dimension, and use that information in problem solving.
Due
Date Day Assignment
1/26 Fri Read: Ch 3 (especially 3.4), Ch 5
Do: PS 1: problems Ch 3: 13, 15, 21
Ch 5: 14, 42
Read: Ch 6, Ch 7
Do: PS2: Ch 6: 24, 25, 76, 77
1/29 Mon Practice AP Problems (handed out in class) (2003 Mech 1;
2000 Mech 2; 1998 Mech 3; 1993 Mech 2)
1/30 Tue Read: Ch 10
Do: PS3: Ch 10: 25, 38, 60, 68
2/1 Thu Read: Ch 11
Do: PS4: Ch 11: 37, 38, 39, 60, 74
2/2 Fri Do: Lab
Test: 3, 5, 6, 7, 10, 11